Including substrate losses and noise in a quantum mechanical model of a josephson traveling-wave parametric amplifier

Michael Haider, Yongjie Yuan, Christian Jirauschek

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

Substrate losses affect the performance of dispersive readout of superconducting qubits. We present a quantum mechanical model of a Josephson traveling-wave parametric amplifier, including substrate losses and the associated noise contributions. Losses and noise are introduced by coupling the system Hamiltonian to a bosonic bath, where the coupling constants can be related to the loss tangent of the transmission line substrate. Closed-form solutions for the temporal evolution of discrete mode operators in the presence of losses and noise are derived, under the assumption of a strong classical pump mode. A careful analysis of the loss-induced noise contributions can lead to the formulation of limits for the scaling of ultra-low noise qubit readout.

Original languageEnglish
Title of host publication2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781733509626
DOIs
StatePublished - 1 Aug 2021
Event2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021 - Virtual, Hamilton, Canada
Duration: 1 Aug 20215 Aug 2021

Publication series

Name2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021

Conference

Conference2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
Country/TerritoryCanada
CityVirtual, Hamilton
Period1/08/215/08/21

Keywords

  • Josephson travling-wave parametric amplifier
  • Langevin method
  • Loss tangent

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